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A241955
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a(n) = 2^(4*n+3) - 1.
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3
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7, 127, 2047, 32767, 524287, 8388607, 134217727, 2147483647, 34359738367, 549755813887, 8796093022207, 140737488355327, 2251799813685247, 36028797018963967, 576460752303423487, 9223372036854775807, 147573952589676412927, 2361183241434822606847, 37778931862957161709567
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 17*a(n-1) - 16*a(n-2).
G.f.: (8*x+7) / ((x-1)*(16*x-1)). (End)
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MAPLE
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MATHEMATICA
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Table[2^(4n + 3) - 1, {n, 0, 29}]
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PROG
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(PARI) vector(40, n, 2^(4*n-1)-1) \\ Derek Orr, Aug 11 2014
(PARI) Vec((8*x+7)/((x-1)*(16*x-1)) + O(x^100)) \\ Colin Barker, Aug 11 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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